Answer:

Step-by-step explanation:
The cost (in dollars) in making b bracelets is represented is

The cost (in dollars) of making b necklaces is

To find how much more it will cost to make b necklaces than b bracelets, we find the difference,




This is a polynomial in descending powers of b, hence it is in standard form;
Answer:
3/4
Step-by-step explanation:
28 total but 12 are boys so girls = 28 - 12 = 16
Ratio of boys to girls
= 12/16
= 3/4
At any time
(min), the volume of solution in the tank is

If
is the amount of salt in the tank at any time
, then the solution has a concentration of
.
The net rate of change of the amount of salt in the solution,
, is the difference between the amount flowing in and the amount getting pumped out:

Dropping the units and simplifying, we get the linear ODE


Multiplying both sides by
allows us to identify the left side as a derivative of a product:



Integrate and divide both sides by
to get

The tanks starts off with 30 lb of salt, so
and we can solve for
to get a particular solution of

The ratio of the areas:
225 : 36 = 15² : 6²
The ratio of their corresponding sides:
15 : 6 = 5 : 2